Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?
Linear Function 1: y=15x+8
Linear Function 2:
x y
5 26
13 34(1 point)
Responses
Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 8.
Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 8.
Linear Function 1 has the greater rate of change, with a rate of change equal to 8 while Linear Function 2 has a rate of change equal to 1.
Linear Function 1 has the greater rate of change, with a rate of change equal to 8 while Linear Function 2 has a rate of change equal to 1.
Linear Function 1 has the greater rate of change, with a rate of change equal to 15 while Linear Function 2 has a rate of change equal to 1.
Linear Function 1 has the greater rate of change, with a rate of change equal to 15 while Linear Function 2 has a rate of change equal to 1.
Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 15.
Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 15.
Compare Linear Function 1 with Linear Function 2. Which one has the lesser initial value?
Linear Function 1: Lionel’s cell phone plan costs $45 per month.
Linear Function 2: The relationship between the number of months Ruby has had her cell phone (x) and the total cost (y) is given by y=40x+60.
(1 point)
Responses
Linear Function 1 has the lesser initial value, with an initial value equal to $0 while Linear Function 2 has an initial value equal to $60.
Linear Function 1 has the lesser initial value, with an initial value equal to $0 while Linear Function 2 has an initial value equal to $60.
Linear Function 1 has the lesser initial value, with an initial value equal to $45 while Linear Function 2 has an initial value equal to $60.
Linear Function 1 has the lesser initial value, with an initial value equal to $45 while Linear Function 2 has an initial value equal to $60.
Linear Function 1 has the lesser initial value, with an initial value equal to $0 while Linear Function 2 has an initial value equal to $40.
Linear Function 1 has the lesser initial value, with an initial value equal to $0 while Linear Function 2 has an initial value equal to $40.
Linear Function 2 has the lesser initial value, with an initial value equal to $40 while Linear Function 1 has an initial value equal to $45.
A function has an initial value of −1 and a slope equal to 3. Choose the sketch of a graph that exhibits the qualitative features of the function.(1 point)
Responses
There is no sketch of a graph provided to choose from. Can you please provide the options?
Willow is rereading her favorite book. She starts the day on page 15. Looking at the clock, she realizes that she can read 2 pages every minute. Choose the sketch of a graph that shows the relationship between the number of minutes Willow has been reading today and the page number she is on
Unfortunately, there is no sketch of the graph provided to choose from. However, the graph should be a straight line with a positive slope that starts at (0, 15) and has a slope of 2 (since Willow reads 2 pages every minute).
Jasmine is running in a race. She runs 1,500 meters in 7 minutes. She starts out fast, slows down toward the middle of the race, and then finishes by sprinting to the finish line. Choose the sketch of a graph that exhibits the qualitative features of the relationship between the number of minutes Jasmine has been running and the distance she has run.(1 point)
There is no sketch of a graph provided to choose from. However, the graph should have three sections: a steep initial slope, a gradual decline, and a steep slope again towards the end. This would represent Jasmine starting fast, slowing down, and then sprinting at the end of the race.
To compare the rate of change between the two linear functions, we can look at the slope of each function.
In general, the slope of a linear function represents the rate of change or how much the dependent variable (y) changes for a given change in the independent variable (x). The slope is typically denoted by the coefficient of the x term in the equation.
For Linear Function 1: y = 15x + 8, the coefficient of x is 15. This means that for every 1 unit increase in x, the value of y increases by 15 units. Therefore, the rate of change for Linear Function 1 is equal to 15.
For Linear Function 2, we are given two data points: (5, 26) and (13, 34). To calculate the rate of change, we can use the formula: rate of change = (change in y) / (change in x).
Using the given points, the change in y is 34 - 26 = 8, and the change in x is 13 - 5 = 8. Therefore, the rate of change for Linear Function 2 is equal to 8 / 8 = 1.
Comparing the rate of change for both functions, we can conclude that Linear Function 1 has the greater rate of change, with a rate of change equal to 15, while Linear Function 2 has a rate of change equal to 1.
question: compare linear function: y=15x+8
answer: linear function 1 has the greater rate of change, with a rate change equal to 15 while Linear function 2 has a rate of change equal to 8.
question 2: Lionels cell phone plan
answer: linear function 1 has the lesser initial value, with an initial value equal to %0 while linear function 2 has an initial value equal to $60